Higher Lie characters and root enumeration in classical Weyl groups

Fuente: arXiv
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Auteurs principaux: Adin, Ron M., Hegedüs, Pál, Roichman, Yuval
Format: Preprint
Publié: 2023
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author Adin, Ron M.
Hegedüs, Pál
Roichman, Yuval
author_facet Adin, Ron M.
Hegedüs, Pál
Roichman, Yuval
contents We prove that, for any integer $k$, the $k$-th root enumerator in the classical Weyl group of type $D$ is a proper character. The proof uses higher Lie characters of type $B$.
format Preprint
id arxiv_https___arxiv_org_abs_2312_08904
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Higher Lie characters and root enumeration in classical Weyl groups
Adin, Ron M.
Hegedüs, Pál
Roichman, Yuval
Combinatorics
Group Theory
Representation Theory
We prove that, for any integer $k$, the $k$-th root enumerator in the classical Weyl group of type $D$ is a proper character. The proof uses higher Lie characters of type $B$.
title Higher Lie characters and root enumeration in classical Weyl groups
topic Combinatorics
Group Theory
Representation Theory
url https://arxiv.org/abs/2312.08904